[tex]\begin{gathered} \text{length of arc=}\frac{\theta}{360}\times2\pi r \\ \theta=360-110=250^{\circ} \\ \text{length of arc=}\frac{250}{360}\times2\times4\times\pi \\ \text{length of arc=}\frac{250}{360}\times8\pi \\ \text{length of arc=}\frac{2000\pi}{360}=\frac{50}{9}\pi\text{ yards} \\ \end{gathered}[/tex]